A difícil aceitação dos números negativos: um estudo da teoria dos números de Peter Barlow (1776-1862)

The present study seeks to present a historico-epistemological analysis of the development of the mathematical concept of negative number. In order to do so, we analyzed the different forms and conditions of the construction of mathematical knowledge in different mathematical communities and, thus, identified the characteristics in the establishment of this concept. By understanding the historically constructed barriers, especially, the ones having ontologicas significant, that made the concept of negative number incompatible with that of natural number, thereby hindering the development of the concept of negative, we were able to sketch the reasons for the rejection of negative numbers by the English author Peter Barlow (1776 -1862) in his An Elementary Investigation of the Theory of Numbers, published in 1811. We also show the continuity of his difficulties with the treatment of negative numbers in the middle of the nineteenth century

(Por) entre pedra e tela: a construção de uma memória republicana (Natal - 1906-1919)

This work, from a perspective that thinks the space as a historical category, and especially as a relationship which stresses the role of objects, proposes an analysis of the construction of a Republican memory in the city of Natal in the early twentieth century. This research will focus mainly on two objects: the obelisk opened in 1917, and the Andre de Albuquerque Square on the occasion of the celebration of Frei Miguelinho´s death centenary and the paint Julgamento de Frei Miguelinho ordered by the State Government to the painter Antonio Parreiras, picture that was in the Salão Nobre do Palácio do Poder Executivo of that time. In a geral way this work intend to analyse the construction of this memory as well as the role of these objects in this process. To achieve that, we propose to trace ways and networks to follow the possible associations(between people, events, images, discourses, objects, institutios etc.) in the constitution of mutual belongings. Thus, our procedure was to follow these objects through the pathways in which they became possible, so that in the end we could defend the idea that they are active participants of the process that establish them.